Ask question

Ask question

All categories

2 years ago

8

Emily participates in a trivia quiz show. In each round, 20 points are awarded for a correct answer and 10 points are deducted f

or an incorrect answer. Emily answered 7 questions correctly and 8 incorrectly in the first round. What was her first-round score? Emily answered 4 questions correctly and 11 incorrectly in the second round. What was her score in the second round? The final score is the average of the two rounds, what is Emily's final score?

1 answer:

kirza4 [7]2 years ago

4 0

Answer:

<u>1. Emily scored 60 points in the first round</u>

<u>2. Emily scored minus 30 points in the second round</u>

<u>3. Emily's final score is 15 points.</u>

Step-by-step explanation:

1. Let's review all the information given to us to answer the questions correctly:

Points awarded for a correct answer = 20

Points deducted for a incorrect answer = 10

2. Let's calculate the score of Emily in the first round:

Score = 7 * 20 - 8 * 10

Score = 140 - 80

Score = 60

<u>Emily scored 60 points in the first round</u>

<u>3. </u>Let's calculate the score of Emily in the second round:

Score = 4 * 20 - 11 * 10

Score = 80 - 110

Score = - 30

<u>Emily scored minus 30 points in the second round</u>

<u>4. </u>Let's calculate the final score of Emily:

Final score = (Score 1st round + Score 2nd round)/2

Final score = (60 + - 30)/2

Final score = (60 - 30)/2 = 30/2 = 15

<u>Emily's final score is 15 points.</u>

You might be interested in

A botanist is using two types of plants for an experiment. She writes inequalities to model the constraints on the number of eac

Valentin [98]

The vertex (5,39)

5 is the value of x. 39 is the value of y. y is the cost function of the minimum value in dollars.

(5,39) vertex means that <span>Buying five of each type of plant costs $39, which is the lowest possible cost.</span>

3 0

2 years ago

Read 2 more answers

What values of c and d make the equation true? RootIndex 3 StartRoot 162 x Superscript c Baseline y Superscript 5 Baseline EndRo

Reil [10]

Answer:

<em>c=6, d=2</em>

Step-by-step explanation:

<em>Equations </em>

We must find the values of c and d that make the below equation be true

$\sqrt[3]{162x^cy^5}=3x^2y \sqrt[3]{6y^d}$

Let's cube both sides of the equation:

$\left (\sqrt[3]{162x^cy^5}\right )^3=\left (3x^2y \sqrt[3]{6y^d}\right)^3$

The left side just simplifies the cubic root with the cube:

$162x^cy^5=\left (3x^2y \sqrt[3]{6y^d}\right)^3$

On the right side, we'll simplify the cubic root where possible and power what's outside of the root:

$162x^cy^5=3^3x^6y^3 (6y^d)$

Simplifying

$x^cy^5=x^6y^{3+d}$

Equating the powers of x and y separately we find

c=6

5=3+d

d=2

The values are

$\boxed{c=6,d=2}$

3 0

2 years ago

Read 2 more answers

One week, Brody earned $396.10 at his job when he worked for 17 hours. If he is paid the same hourly wage, how many hours would

mario62 [17]

Answer:

30 hours

Step-by-step explanation:

so i did 396.10/ 17, and i got 23.3 then u divide his hourly pay by 699.00 and u got 30

4 0

2 years ago

A gas station sells m gallons of gasoline fuel at $3.80 per gallon and n gallons of diesel fuel

konstantin123 [22]

Answer:

3.8m+4.25n=23250

Step-by-step explanation:

5 0

2 years ago

The average daily rainfall for the past week in the town of Hope Cove is normally distributed, with a mean rainfall of 2.1 inche

natita [175]

Answer:

D

Step-by-step explanation:

We calculate the z-score for each

Mathematically;

z-score = (x-mean)/SD

z1 = (1.9-2.1)/0.2 = -1

z2 = (2.3-2.1)/0.2 = 1

So the proportion we want to calculate is;

P(-1<x<1)

We use the standard score table for this ;

P(-1<x<1) = P(x<1) -P(x<-1) = 0.68269 which is approximately 68%

6 0

2 years ago